11290920 has 64 divisors (see below), whose sum is σ = 34801920. Its totient is φ = 2928384.

The previous prime is 11290901. The next prime is 11290927. The reversal of 11290920 is 2909211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11290927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3169 + ... + 5711.

It is an arithmetic number, because the mean of its divisors is an integer number (543780).

Almost surely, 2^11290920 is an apocalyptic number.

11290920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11290920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17400960).

11290920 is an abundant number, since it is smaller than the sum of its proper divisors (23511000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11290920 is a wasteful number, since it uses less digits than its factorization.

11290920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 11290920 is about 3360.1964228301. The cubic root of 11290920 is about 224.3415813182.

It can be divided in two parts, 1 and 1290920, that added together give a palindrome (1290921).

The spelling of 11290920 in words is "eleven million, two hundred ninety thousand, nine hundred twenty".